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4 years ago

13

97/14 into a mixed number

1 answer:

Hunter-Best [27]4 years ago

3 0

To change 97/14 into a mixed number, first figure out how many times 14 can go into 97 without going over. This would be 6 times which would be the whole number part of your mixed number. Then, multiply 6 by 14 to get 84 and subtract it from 97 to get 13 which would be the part over 16. This would result in your answer 6 13/16, would be 97/14 in mixed number form.

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Find the derivative with respect to x of y = (3x + x^2)^5

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<h2>The required "option A) $5(3x + x^2)^{4} (3+2x)$ " is correct.</h2>

Step-by-step explanation:

We have,

$y = (3x + x^2)^5$ ..... (1)

To find, $\dfrac{dy}{dx}$ = ?

Differentiating equation (1) w.r.t. 'x', we get

$\dfrac{dy}{dx}= \dfrac{d[(3x + x^2)^5]}{dx}$

⇒ $\dfrac{dy}{dx}=5(3x + x^2)^{5-1} \dfrac{d(3x + x^2)}{dx}$

[ ∵ $y=x^{n}$ ⇒ $\dfrac{dy}{dx}=nx^{n-1}$ ]

⇒ $\dfrac{dy}{dx}=5(3x + x^2)^{4} (3(1) + 2x^{2-1})$

⇒ $\dfrac{dy}{dx}=5(3x + x^2)^{4} (3+2x)$

Thus, the required "option A) $5(3x + x^2)^{4} (3+2x)$ " is correct.

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Answer

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Step-by-step explanation:

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